Finding the Third Proportional to 37,116 and 79,504

Step by Step Solution

1. Step 1: Write the proportion equation
   37,116 : 79,504 = 79,504 : x
2. Step 2: Convert to fraction form
   37,116/79,504 = 79,504/x
3. Step 3: Cross multiply
   37,116x = 79,504 × 79,504
4. Step 4: Simplify right side
   37,116x = 6,320,886,016
5. Step 5: Solve for x
   x = 6,320,886,016/37,116
6. Step 6: Final answer
   x = 170,300.84